全國中小學科展

二等獎

超立方體最小控制集建構方式的探討

本研究將至多8維的超立方體(hypercube)Qn最小控制集(minimum dominating set)MDS(Qn)建構方式一般化,並藉由同構(isomorphic)的分類討論提出的建構模式之唯一性與否。由文獻得出的各超立方體最小控制集大小γ(Qn)以及已知的控制集形式,並從控制集重複控制的次數R(MDS(Qn )),我們得出Qn的平方圖中最小控制集形成的子圖Qn2 [MDS(Qn )]可能的連通分量(component)數,最後透過Qn層狀圖(layered graph)中各層控制點數的運算,篩選得出可行的建構方式。 研究得出MDS(Q1 )、MDS(Q2)、MDS(Q3)、MDS(Q5)、MDS(Q7)只有一種同構;MDS(Q4)、MDS(Q6)有兩種同構,同時我們發現MDS(Q5)與MDS(Q6)構造上的關聯;Q8的情況較為複雜,我們先是證明了γ(Q8 )=32,並討論MDS(Q8)與MDS(Q7)構造上的關聯,提出了建構MDS(Q8)之方式。

Using EEG Neuro-Feedback technology to control a prosthetic hand

Unaffordable healthcare and excessive plastic waste are both alarming issues that are plaguing modern society. Recent studies conducted by the World Health Organisation (WHO) report that about 15% of the world's population suffer from a form of disability, of which 50% of the demographic cannot afford adequate health care. Furthermore, 8 million metric tons of plastic annually enter our oceans (apart from the 150 metric tons that currently circulate our oceans!). In conjunction to the global plastic pollution crisis, unnecessary invasive surgery is currently being done on amputees. Many of these desperate patients are forced to pay exorbitant prices in order to live a normal life with bionic prosthetics. The solution… Project Limbs - an EEG, 3D printed prosthetic printed from recycled plastic. Signal processors will be implemented to build an affordable and easy-to-use ‘mind controlled prosthetic hand’, that requires no invasive surgery.

Improving Particle Classification In Wimp Dark Matter Detection Using Neural Networks

In all experiments for detection of WIMP dark matter, it is essential to develop a classifier that can distinguish potential WIMP events from background radiation. Most often, clas- sifiers are developed manually, via physical modeling and empirical optimization. This is problematic for two reasons: it takes a great deal of time and effort away from developing the experiment, and the resulting classifiers often perform suboptimally (which means that a greater amount of expensive run time is required to obtain a confident experimental result). Machine learning has the potential to automate this and accelerate experimentation, and also to detect patterns that humans cannot. However, two major challenges, which are shared among several dark matter experiments, stand in the way: impure calibration data, which hinders training of models, and unpredictable physical dynamics within the detector itself. My objective was to develop a set of machine learning techniques that address these two problems, and thus more efficiently generate highly accurate classifiers. I was able to obtain raw data for two dark matter experiments which exhibit these challenges: the PICO-60 bubble chamber [2], and the DEAP-3600 liquid argon scintillator [1]. For each experiment, I developed and compared three general-purpose algorithms intended to resolve its inherent challenge (impurity and unpredictable dynamics, respectively). In PICO-60, background alpha and WIMP-like neutron calibration datasets are used for training; however, there is an impurity of 10% alphas in the neutron set. While a conventional classifier was developed (and is believed to be 100% accurate), machine learning in the form of a supervised neural network (NN) has also been previously explored, because of the benefits of automation. Unfortunately, it achieved a mean accuracy of only 80.2% – not usable as a practical replacement for conventional methods in future iterations of the experiment. In DEAP-3600, photons are absorbed by a wavelength shifting medium and re-emitted in an unpredictable direction, before being detected by one of 255 photomultiplier tubes (PMTs) around the spherical detector. The randomness severely limits the accuracy of conventional classifiers; in a simulation, the best so far removes 99.6% of alpha background, while also (undesirably) removing 91.0% of WIMP events. Because of physical limitations, simulated data is used for calibration, with 30 real-world experimental events available for testing. I have written a research paper [11] about my work on PICO-60, which has been approved by the PICO collaboration and pre-published at https://arxiv.org/abs/1811.11308. It is currently undergoing peer review for publication in Computer Physics Communications. All PICO researchers are listed on my paper for their work on the original PICO-60 experi- ment. They did not contribute to this study; I completed and documented it independently.

Chlorella vulgaris chlorophyll a fluorescence as a potential indicator for zinc and nickel detection

Heavy metals contaminate many bodies of water, posing a health risk to not only organisms that live and use the water in these areas, but also to the humans that live nearby. Chlorella vulgaris, a microalga, is one organism whose chlorophyll a fluorescence can indicate the presence of these substances, detecting any changes in concentrations using fluorescence microscopy and other fluorescence devices. The study explores the sensitivity of C. vulgaris to the heavy metal zinc where the algae was exposed to five concentrations of zinc: 0 ppm, 5 ppm, 10 ppm, 50 ppm, and 100 ppm. The fluorescence of the samples was observed with a fluorescence microscope on days 0, 4, 7, and 12, where the algal samples were adapted to the dark for 5 minutes, then exposed to light for 90 seconds. The values of the minimal and maximal fluorescence of the samples in the dark were noted. There is a significant difference in the values of the minimal fluorescence, maximal fluorescence, and maximum quantum yield, a value derived from the minimal and maximal fluorescence, at the highest concentration, 100 ppm, from the other treatments for the entirety of the experiment. The significantly low values at 100 ppm and the calculated EC50 of 75.70 ppm indicate that C. vulgaris is indeed a viable indicator for zinc detection at this and higher concentrations of zinc.

殊途同歸—無既定模式中英文混合輸入

本研究旨在設計一個使用模式,以不切換中、英文輸入法打字的原則之下,能夠完整的自動辨識出一個包含中文(注音、嘸蝦米、倉頡)與英文完整句子。經實測結果,正確率達到94.23%以上。

以線蟲模型探討核醣核酸結合蛋白MSI-1如何影響微小核醣核酸let-7調控lin-41路徑

癌症是世界性的嚴重疾病,長年位居國人十大死因之首。而基因調控的失控是造成癌症的主要原因之一,由先前的文獻已知,微小核醣核酸let-7負向調控下游基因lin-41是調控細胞週期及癌症發展和預後的重要路徑。由於此調控路徑具有演化上的保守性,本研究以較易操作實驗的秀麗隱桿線蟲為生物模型,透過RNAi 的方式,降低特定基因的表現,觀察是否影響與let-7/LIN-41調控路徑相關的突變性狀,來推測該基因是否參與此路徑相關之細胞週期調控。 本研究中,我們發現以RNAi降低核糖核酸結合蛋白msi-1的表現量可抑制let -7(n2853) 突變種線蟲中因let-7功能缺失所造成的接縫細胞的重複分裂的突變性狀,並增強對下游基因col-19的活化調節。我們推論,降低msi-1表現量可以提升let-7路徑的功能。我們期望可以藉由研究msi-1如何調控此路徑的機制,更加了解MSI-1此一核糖核酸結合蛋白對於細胞週期的控制,並提供未來癌症標靶藥物的重要參考。

Removal of Nutrients by Chlorella Vulgaris Microalgae in Bandar Abbas Municipal Wastewater

The entry of nutrients into the environment can cause the creation of eutrophication of aquatic ecosystems. One of the methods of removing nutrients from effluents is the use of algae. Algal purification is a new and inexpensive technology for this purpose. The present study investigated the rate of cell growth and nutrient removal of urban wastewater in Bandar Abbas in winter 2020 by the Chlorella vulgaris microalgae in the phycolab of Fisheries Research. Treatments with different dilutions (0%, 25%, 50% and 75%) were prepared; in addition, specific growth rate, cell density and removal efficiency of phosphate, nitrate, nitrite were examined during a 14 day period with initial constant density (1×10⁶ cells / ml ) of microalgae. The results indicated that 0% and 75% dilution had the highest and lowest cell densities (8.675×10⁶ and 56.633×10⁶), respectively; moreover, they had the specific growth rate (0.166 and 0.311). Furthermore, there was a significant difference between them (P≥ 0.05). The highest nitrate and nitrite removal efficiencies were -40.75 and -79.84 in effluent dilution of 50%; in addition, the lowest were 1.26 and -40.26 in dilution of 75% and 25% respectively. Phosphate had the highest removal efficiency at 0% dilution with a mean of -79.65 that showed a significant difference with the lowest at 25% dilution (P≥ 0.05). Therefore, high or low levels of nutrients can affect the removal efficiency and growth rate of microalgae.

臺灣極端寒流個案與東亞地區冬季氣候之關聯

本研究定義1967~2016年的極端寒流並將其分成1985前與1986後兩個時期,進行前後期寒流個案合成之綜觀環境場的比較,得知前後期確實有所不同,且以天為單位,後期寒流及非寒流差異較不明顯,推測需要更長時間尺度才能凸顯差異。再以臺北冬溫與世界冬季的溫度、風場做相關性分析,發現緯向風的蒙古地區,在前後期正相關性都相對明顯;經向風則是西伯利亞西部的負相關在前後期皆較明顯。因此,我們分別取蒙古緯向風及西伯利亞經向風以月為單位做不同季節延遲、同步及領先的迴歸分析,並發現與臺北冬溫相關性最高者,分別為蒙古冬季同步緯向風,及西伯利亞春季領先2經向風。最後為了驗證,再將此二風場1967~2016年的數據分為寒流、非寒流期間及全部數據進行比較,觀察同個月份在寒流及非寒流期間與平均值的差別,也探討這些差異與臺北冬溫三個月份間的差異有何異同,結果證實寒流及非寒流大多具有明顯不同。

以菸草探討電擊對植物免疫的影響

農作物常遭受病毒攻擊,造成重大經濟損失,但傳統的化學藥劑無法有效抑制病毒,且易殘留汙染環境。本研究旨在利用物理性的電擊模擬外界刺激,進而探討電擊對植物啟動水楊酸主導免疫反應的影響。實驗中以10伏特的電壓電擊菸草10分鐘,能使圓葉菸草(Nicotiana benthamiana)的水楊酸標誌基因PATHOGENESIS-RELATED PROTEIN 1(PR1)表現量提升,並使菸草鑲嵌病毒 (tobacco mosaic virus ; TMV)的感染斑點數下降。顯示電擊處理可以誘導水楊酸所主導的免疫反應,並增強整體抗病毒性。另外,相較於未電擊過的菸草,電擊後的菸草系統葉在接種TMV-GFP後PR1基因表現量提升,表示電擊可能對菸草系統性水楊酸相關抗性表現產生預起效應(priming),可以幫助植物對抗未來的病毒感染。

實驗室裡的飛行荷蘭人--複雜蜃景之探究 (Fata Morgana: the explanation of the 'Flying Dutchman')

複雜蜃景(Fata Morgana)專指擁有多重影像的特殊上蜃景,形成於高緯度海面上,也是「飛行荷蘭人」的主要成因。本研究主要藉由探討介質折射率梯度變化與觀察者高度位置等變因,釐清複雜蜃景形成與觀察的最佳條件。藉由控制高濃度糖水溶液擴散形成的密度梯度,我們在六十公分的水缸中重建出形成複雜蜃景的環境,主要是因為糖水溶液中的折射率梯度遠大於海面上空氣的逆溫梯度所造成之折射率變化。為了進一步解析光在複雜折射率介質中之行進模式,我們以綠雷射光入射糖溶液,在側向以相機紀錄光的行進軌跡,分析探討其折射現象。我們同時利用相機觀察放置於水缸另一側的模型船,藉以觀察實際蜃景的形成與演化。本研究中我們另發展一套光軌跡的模擬程式,以協助實驗的進行與驗證實驗的成果。藉由實驗與理論模擬相互映證,充分探討複雜蜃景的成像與形成的最佳條件。